How do you use a graphing calculator to find the limit of the sequence #a_n=n^2/(n+1)#?

1 Answer
Dec 15, 2017

the limit of the sequence is #lim_(nrarroo)(n^2/(n+1))# or the value #n^2/(n+1)# as #n# gets really large.

type the function #y = n^2/(n+1)# into your calculator (you can replace #n# with #x#)

graph the function on a large window. if the graph approaches a y-value when #x# is very large, that value is your limit. otherwise, the limit is #oo# or #-oo#.

since this graph has a continuously increasing y-value for large x values, the limit of the sequence #a_n=n^2/(n+1)# is #oo#.